Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces
In Banach spaces, we study the problem of solving a more general variational inequality system for an asymptotically non-expansive mapping. We give a new viscosity approximation scheme to find a common element. Some strong convergence theorems of the proposed iterative method are obtained. A numeric...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/1/36 |
| _version_ | 1798042426406862848 |
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| author | Yuanheng Wang Chanjuan Pan |
| author_facet | Yuanheng Wang Chanjuan Pan |
| author_sort | Yuanheng Wang |
| collection | DOAJ |
| description | In Banach spaces, we study the problem of solving a more general variational inequality system for an asymptotically non-expansive mapping. We give a new viscosity approximation scheme to find a common element. Some strong convergence theorems of the proposed iterative method are obtained. A numerical experiment is given to show the implementation and efficiency of our main theorem. Our results presented in this paper generalize and complement many recent ones. |
| first_indexed | 2024-04-11T22:35:22Z |
| format | Article |
| id | doaj.art-c979beda8bb54fc09482cc563a2b75eb |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T22:35:22Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c979beda8bb54fc09482cc563a2b75eb2022-12-22T03:59:14ZengMDPI AGSymmetry2073-89942019-12-011213610.3390/sym12010036sym12010036Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach SpacesYuanheng Wang0Chanjuan Pan1Department of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaIn Banach spaces, we study the problem of solving a more general variational inequality system for an asymptotically non-expansive mapping. We give a new viscosity approximation scheme to find a common element. Some strong convergence theorems of the proposed iterative method are obtained. A numerical experiment is given to show the implementation and efficiency of our main theorem. Our results presented in this paper generalize and complement many recent ones.https://www.mdpi.com/2073-8994/12/1/36strong convergencefixed pointgeneral variational inequality systemasymptotically non-expansive mappingbanach space |
| spellingShingle | Yuanheng Wang Chanjuan Pan Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces Symmetry strong convergence fixed point general variational inequality system asymptotically non-expansive mapping banach space |
| title | Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces |
| title_full | Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces |
| title_fullStr | Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces |
| title_full_unstemmed | Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces |
| title_short | Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces |
| title_sort | viscosity approximation methods for a general variational inequality system and fixed point problems in banach spaces |
| topic | strong convergence fixed point general variational inequality system asymptotically non-expansive mapping banach space |
| url | https://www.mdpi.com/2073-8994/12/1/36 |
| work_keys_str_mv | AT yuanhengwang viscosityapproximationmethodsforageneralvariationalinequalitysystemandfixedpointproblemsinbanachspaces AT chanjuanpan viscosityapproximationmethodsforageneralvariationalinequalitysystemandfixedpointproblemsinbanachspaces |